From hardy to rellich inequalities on graphs
- We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality. The results are proven first for Laplacians and are extended to Schrodinger operators afterwards.
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| Author details: | Matthias KellerORCiD, Yehuda PinchoverORCiDGND, Felix PogorzelskiORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-542140 |
| DOI: | https://doi.org/10.25932/publishup-54214 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (1379) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2020/08/16 |
| Publication year: | 2020 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2024/03/20 |
| Tag: | 26D15; 31C20; 35B09; 35R02; 39A12 (primary); 58E35 (secondary) |
| Issue: | 3 |
| Number of pages: | 22 |
| Source: | Proc. London Math. Soc., 122: 458-477. https://doi.org/10.1112/plms.12376 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
| License (German): |  CC-BY-NC-ND - Namensnennung, nicht kommerziell, keine Bearbeitungen 4.0 International |
| External remark: | Bibliographieeintrag der Originalveröffentlichung/Quelle |
